Math $176$ Worksheet #$3$

$($Sec$.1\mathrm{.}4$ Differentiation Using Limits of Difference Quotients and Sec. $1\mathrm{.}5$ Differentiation Techniques: The Power and Sum$-$Difference Rules$)$

Directions: You may work with others. Use complete sentences when asked to give an explanation. Show all your work.

$1.)$ Suppose $f(x)=x^{2}4x-9.$

a$.)$ Find $f^{\text{'}}(x).$

b$.)$ Find $f^{\text{'}}(2)$ and $f^{\text{'}}(3).$